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Finding the Fourth Proportional to 525.06, 787.59 and 200.48

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Solution

The fourth proportional to 525.06, 787.59 and 200.48 is: 300.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.06 : 787.59 = 200.48 : x
  2. Step 2: Convert to fraction form
    525.06/787.59 = 200.48/x
  3. Step 3: Cross multiply
    525.06x = 787.59 × 200.48
  4. Step 4: Simplify right side
    525.06x = 157,892.11
  5. Step 5: Solve for x
    x = 157,892.11/525.06
  6. Step 6: Final answer
    x = 300.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.